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Finding the Fourth Proportional to 4,847.80, 7,258.74 and 2,895.16

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Solution

The fourth proportional to 4,847.80, 7,258.74 and 2,895.16 is: 4,335.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.80 : 7,258.74 = 2,895.16 : x
  2. Step 2: Convert to fraction form
    4,847.80/7,258.74 = 2,895.16/x
  3. Step 3: Cross multiply
    4,847.80x = 7,258.74 × 2,895.16
  4. Step 4: Simplify right side
    4,847.80x = 21,015,213.70
  5. Step 5: Solve for x
    x = 21,015,213.70/4,847.80
  6. Step 6: Final answer
    x = 4,335.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.